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ehidna [41]
2 years ago
11

Solve the equation by factoring. x2+6x-16=0

Mathematics
2 answers:
Anna35 [415]2 years ago
6 0

Answer:

x = 2 or x = -8   (d)

Step-by-step explanation:

Find two factors of 16 which differ by 6. The pair 8,2 works in that 8 × 2 = 16 and 8 - 2 = 6.

Hence we find:

0 = x^2+6x-16 = (x+8)(x-2)

So x = 2 or x = -8

Alternatively, complete the square then use the difference of squares identity:

a^2-b^2 = (a-b)(a+b)

with a = (x+3) and b=5 as follows:
0 = x^2+6x-16

=(x+3)^2-9-16

=(x+3)^2-25

=(x+3)^2-5^2=((x+3)-5)((x+3)+5)

=(x-2)(x+8)

Hence zeros x=2 and x=-8

Subjects:

Algebra  Quadratic Equations and Functions  Comparing Methods for Solving Quadratics

posledela2 years ago
4 0

Answer:

hi dear, the answer is option D, {-8,2}

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